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Tetrahedral mesh generation based on space indicator functions
Authors:Hansmartin Friess  Sophia Haussener  Aldo Steinfeld  Jörg Petrasch
Affiliation:1. Department of Mechanical and Process Engineering, ETH Zurich, , 8092 Zurich, Switzerland;2. Institute of Mechanical Engineering, , EPFL, 1015 Lausanne, Switzerland;3. Solar Technology Laboratory, Paul Scherrer Institute, , 5232 Villigen, Switzerland;4. Energy Research Center, Vorarlberg University of Applied Sciences, , 6850 Dornbirn, Austria
Abstract:An algorithm for the generation of tetrahedral volume meshes is developed for highly irregular objects specified by volumetric representations such as domain indicator functions and tomography data. It is based on red–green refinement of an initial mesh derived from a body‐centered cubic lattice. A quantitative comparison of alternative types of initial meshes is presented. The minimum set of best‐quality green refinement schemes is identified. Boundary conformity is established by deforming or splitting surface‐crossing elements. Numerical derivatives of input data are strictly avoided. Furthermore, the algorithm features surface‐adaptive mesh density based on local surface roughness, which is an integral property of finite surface portions. Examples of applications are presented for computer tomography of porous media. Copyright © 2012 John Wiley & Sons, Ltd.
Keywords:mesh generation  flow in porous media  multiscale  Navier–  Stokes
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